# What is the sum of the measures of the interior angles of an octagon?

##### 1 Answer

Sep 8, 2016

#### Answer:

#### Explanation:

To calculate the

#color(blue)"sum of the interior angles of a polygon"# in general use.

#color(red)(bar(ul(|color(white)(a/a)color(black)(180^@(n-2))color(white)(a/a)|)))#

where n represents the number of sides of the polygon.For an octagon with 8 sides, n = 8

#rArr"sum of interior angles"=180^@xx(8-2)#

#=180^@xx6=1080^@#